What is the Greatest Common Factor of 35770 and 35785?

Greatest common factor (GCF) of 35770 and 35785 is 5.

GCF(35770,35785) = 5

We will now calculate the prime factors of 35770 and 35785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35770 and 35785.

How to find the GCF of 35770 and 35785?

We will first find the prime factorization of 35770 and 35785. After we will calculate the factors of 35770 and 35785 and find the biggest common factor number .

Step-1: Prime Factorization of 35770

Prime factors of 35770 are 2, 5, 7, 73. Prime factorization of 35770 in exponential form is:

35770 = 2¹ × 5¹ × 7² × 73¹

Step-2: Prime Factorization of 35785

Prime factors of 35785 are 5, 17, 421. Prime factorization of 35785 in exponential form is:

35785 = 5¹ × 17¹ × 421¹

Step-3: Factors of 35770

List of positive integer factors of 35770 that divides 35770 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 73, 98, 146, 245, 365, 490, 511, 730, 1022, 2555, 3577, 5110, 7154, 17885

Step-4: Factors of 35785

List of positive integer factors of 35785 that divides 35770 without a remainder.

1, 5, 17, 85, 421, 2105, 7157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35770 and 35785. The biggest common factor number is the GCF number.
So the greatest common factor 35770 and 35785 is 5.

Also check out the Least Common Multiple of 35770 and 35785